| Description |
1 online resource |
| Series |
Solid mechanics and its applications, 0925-0042 ; v. 194 |
|
Solid mechanics and its applications ; v. 194.
|
| Contents |
Continuum Mechanics -- The Purpose of Continuum Mechanics -- Large Displacements and Large Strains -- Kinematically Moderately Nonlinear Theory -- Infinitesimal Theory -- Constitutive Relations -- Specialized Continua -- The Idea of Specialized Continua -- Plane, Straight Beams -- Plane, Curved Bernoulli-Euler Beams -- Plane Plates -- Beams with Cross-Sections and Plates with Thickness -- Introduction to Beams with Cross-Sections -- Bending and Axial Deformation of Linear Elastic Beam Cross-Sections -- Shear Deformation of Linear Elastic Beam Cross-Sections -- Unconstrained Torsion -- Introduction to "Plates with Thickness" -- Bending and In-Plane Deformation of Linear Elastic Plates -- Buckling -- Stability: Buckling -- Stability Concepts -- Elastic Buckling Problems With Linear Prebuckling -- Initial Postbuckling With a Unique Buckling Mode -- Imperfection Sensitivity -- Elastic-Plastic Buckling The Shanley Column -- Introduction to the Finite Element Method -- About the Finite Element Method -- An Introductory Example in Several Parts -- Plate Finite Elements for In-Plane States -- Internal Nodes and Their Elimination -- Circular Beam Finite Elements, Problems and Solutions -- Modified Complementary Energy and Stress Hybrid Finite Elements -- Linear Elastic Finite Element Analysis of Torsion -- Mathematical Preliminaries -- Introduction -- Notation -- Index Notation, the Summation Convention, and a Little About Tensor Analysis -- Introduction to Variational Principles -- Budiansky-Hutchinson Notation |
| Summary |
The book opens with a derivation of kinematically nonlinear 3-D continuum mechanics for solids. Then the principle of virtual work is utilized to derive the simpler, kinematically linear 3-D theory and to provide the foundation for developing consistent theories of kinematic nonlinearity and linearity for specialized continua, such as beams and plates, and finite element methods for these structures. A formulation in terms of the versatile Budiansky-Hutchinson notation is used as basis for the theories for these structures and structural elements, as well as for an in-depth treatment of structural instability |
| Analysis |
Engineering |
|
Engineering mathematics |
|
Mechanical engineering |
|
Continuum Mechanics and Mechanics of Materials |
|
Appl. Mathematics/Computational Methods of Engineering |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Continuum mechanics.
|
|
Structural analysis (Engineering)
|
|
structural analysis.
|
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SCIENCE -- Mechanics -- General.
|
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SCIENCE -- Mechanics -- Solids.
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Ingénierie.
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Continuum mechanics
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Structural analysis (Engineering)
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| Form |
Electronic book
|
| ISBN |
9789400757660 |
|
9400757662 |
|
9789400757653 |
|
9400757654 |
|
